How to smooth shading glitches around edge
To be scared even more you can use Zebra matcap shading in viewport.
Issue raise more visible.

You can change Data Properties &gt; Normals &gt; Auto Smooth &gt; Angle to 14 in this case, that make the Normal Shading better, but it doesnt fix it entirely.

Both issue makes even beter with SurbSurf 5.

... but since cuts are far from folowing base topo, it generates a lot of Ngons with unpredictable triangulation. I think Retopo is waiting for you :)